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Topics 1–16: Online Cumulative/Benchmark Assessment
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Sheila draws three rectangles with a perimeter of 14.
Part A
Which of the following sizes of rectangles could Sheila have drawn?
A. 2 x 5
B. 3 x 5
C. 3x4
D. 2 x 4
E.
1 x 6

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

Answer:

[tex]126\frac{6}{19}[/tex] £

Step-by-step explanation:

£1 = €1.14  /[tex]*\frac{144}{1.14}[/tex]

£[tex]\frac{144}{1.14}[/tex]=144€= [tex]126\frac{6}{19} \\[/tex]£

Answer:

x = 20

Step-by-step explanation:

The angles form a straight line so they add to 180 degrees

6x-4 + 3x+4 = 180

Combine like terms

9x=180

Divide by 9

9x/9 = 180/9

x= 20

20

Hope this helps! :)

______________

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the functions are not given.

The general explanation on calculating average rate of change is as follows.

The average rate of change (m) of function f(x) over interval (a,b) is:

[tex]m = \frac{f(b) - f(a)}{b-a}[/tex]

Take for instance:

[tex]f(x) = x^2 + 4x + 4[/tex]

[tex](a,b) = (0,2)[/tex]

The average rate of change over [tex](0,2)[/tex] is:

[tex]m = \frac{f(2) - f(0)}{2-0}[/tex]

[tex]m = \frac{f(2) - f(0)}{2}[/tex]

Calculate f(2) and f(0)

[tex]f(2) = 2^2 + 4*2 + 4 =16[/tex]

[tex]f(0) = 0^2 + 4*0 + 4 =4[/tex]

So, we have:

[tex]m = \frac{f(2) - f(0)}{2}[/tex]

[tex]m = \frac{16 - 4}{2}[/tex]

[tex]m = \frac{12}{2}[/tex]

[tex]m = 8[/tex]

Answer:

Maybe you could show what is trying to be solved.

Step-by-step explanation:

they are alternate interior angles

Answer:

The answer is constructive interori

Step-by-step explanation:

Answer:

i hope this will help u

Step-by-step explanation:

if p(0) so answer is 0

if p(1) so answer is 7/2 or 3.5

Answer:

(0,3)

Step-by-step explanation:

solve for 2y

-X-2y= -6

2y=6+2x

substitute the given value of 2y into the equation -x-2y=-6

-x-(6+3x)= -6

solve for x

x=0

substitute the given value of X into the equation 2y=6+3x

2y=6+3×0

solve for y

y=3

the solution is (0,3)

Answer:

The equation is

y = $ 12.35 x

Step-by-step explanation:

Cost of one bag of rocks = $ 12.35

Let there are x bags of rocks, so that the total cost is y.

So, the cost of 1 bag = $ 12.35

cost of x bags = $12.35 x

The total cost is

y = $12.35 x

It is the equation of a straight line which passes from origin and the slope is 12.35.

Answer:

Answer:

A. 8

Step-by-step explanation:

Keep in mind my answer choices are in a different order.

Answer:

number of A is correct answer

Answer:

D

Step-by-step explanation:

Your answer is D trust me

Answer:

x= 2 or x= -2

Step-by-step explanation:

3x² -9= 3

+9 on both sides:

3x²= 9 +3

Simplify:

3x²= 12

Divide by 3 on both sides:

x² =4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2 or x= -2

Answer:

c

Step-by-step explanation:

because x=9

Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Sin theta is defined as the ratio of perpendicular and hypotenuse.

The given equation is;

[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]

The cos[tex]\theta[/tex] is given by;

[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]

By applying Pythagoras theorem the value of base is;

[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]

The value of sin[tex]\theta[/tex] is;

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]

Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Learn more about trigonometry here;

https://brainly.com/question/26719838

#SPJ2

Answer:

The top right is 5,1

top left -4,3

bottom left the one near the -4 is -4,1

and the one below that is -2,5

And last the bottom right is 4,1

Step-by-step explanation:

Your welcome :)

Answer:

13.7

Step-by-step explanation:

take 58 degree as reference angle

using tan rule

tan 58 =opposite/adjacent

1.600=22/x

x=22/1.600

x=13.75

x=13.7

Answer and Step-by-step explanation:

I think it wants you to keep it in the form it showed. I remember doing this this year, so it should be:

[tex]\frac{f(a+h)-f(a)}{h} = \frac{3a +3h + 6 -(3a + 6) }{h}[/tex]

Then after this step you distribute the negative, and combine like terms. After, you divide the h and you get 3 as your answer.

IF it still doesn't work like how I showed it, contact your teacher for help, saying you are pretty sure you got it right (if you put mine and it didn't work) but it is saying it is incorrect.

#teamtrees #PAW (Plant And Water)

Answer:

Without an opposite, the only operation that can be used is C a/h or Cos Adjacent/ Hypotenuse

Answer:

sah

Step-by-step explanation:

Answer:

1) you're going to have to flip the coins (or fake numbers) for the experimental trials.

2) for the theoretical, there is 1/2 chance for heads or tails with each toss, so you'd expect that out of 10 tosses, 5 heads, 5 tails. out of 100 tosses- 50 heads, 50 tails.

When tossing 2 coins- 1/2×1/2 = 1/4 (25%) chance that 2 heads, 2 tails, or 1 heads & 1 tails. Deviation value comes from after you done your flipping and recorded your data. So if on 100 flips you actually got 50 and 50 (rarely us that exact ;), the deviation from the expected of 50/50 would be 0.00. If however you flipped 100 heads or 100 tails (impossible), then the deviation value would be 1.00.

|(100-50)| ÷ 50 = 50÷50 = 1.00

So usually you may have data like: 47/53 or something a little off than 50/50, making deviation |(47-50)| ÷ 50 = 3÷50 = 0.06.

Now the number of flips is important for the outcome! So if a coin toss if 10 times had 4 heads, 6 tails, the deviation value would be:

|(4-5)| ÷ 5 = 1÷5 = 0.20

So increasing the # flips DECREASES the deviation value!!

Whether it's from 10 to 100, or from 100 to 200. Look at my example of how the 10-flip deviation of 0.20 decreased to 0.06 with 100-flip

Answer:

x>7

Step-by-step explanation:

Question is not complete and so I have attached the complete question.

Answer:

C: f(x) = -½x + 4

Step-by-step explanation:

Using slope formula between 2 points, we know that;

slope; m = (y2 - y1)/(x2 - x1)

Let's consider 2 points from the table;

(0, 4) and (-4, 6)

Thus;

m = (6 - 4)/(-4 - 0)

m = 2/-4

m = -½

Now using slope intercept form equation which is y - y1 = m(x - x1), we can find the equation of the function by picking on point say (0, 4).

Thus;

y - 4 = -½(x - 0)

y - 4 = -½x

y = -½x + 4

Thus;

f(x) = -½x + 4

Answer:

The percentage of workers not wearing the helmets is 5.3 %.

Step-by-step explanation:

A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence

total workers = 900

Not wearing helmet = 48

Percentage which are not wearing the helmets

= [tex]\frac{48}{900}\times 100 = 5.3 %[/tex]%

Answer:

c

Step-by-step explanation:

:D 100%

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

Answer:

f-g)(x)= | 7x + 1 | -6 Is correct

Step-by-step explanation:

Functions f(x) and g(x) are illustrations of composite functions.

The value of (f - g)(x) is |7x + 1| - 6

The functions are given as:

[tex]\mathbf{f(x) = |7x +1|- 8}[/tex]

[tex]\mathbf{g(x) = -2}[/tex]

The function (f - g)(x) is calculated using:

[tex]\mathbf{(f - g)(x) = f(x) - g(x)}[/tex]

So, we have:

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}[/tex]

Remove bracket

[tex]\mathbf{(f - g)(x) = |7x + 1| - 8 +2}[/tex]

Simplify

[tex]\mathbf{(f - g)(x) = |7x + 1| - 6}[/tex]

Hence, the value of (f - g)(x) is |7x + 1| - 6

Read more about composite functions at:

https://brainly.com/question/20379727

Answer:

How long the residents are likely to live

hope this helps u out

Answer:

How long the residents are likely to live

Step-by-step explanation:

just did it on edge 2022

hope this helps

Answer:

(3, 1) (5, 3) (7, 5) (13, 11)

Step-by-step explanation:

There are only three of them that I know of:

(7, 5) (13, 11) (19,17)

Answer:

D, 34.8 + b =54.6

[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]

180 times

45 cups can wash 180 times